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Finding the Fourth Proportional to 40.80, 55.80 and 40.16

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Solution

The fourth proportional to 40.80, 55.80 and 40.16 is: 54.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.80 : 55.80 = 40.16 : x
  2. Step 2: Convert to fraction form
    40.80/55.80 = 40.16/x
  3. Step 3: Cross multiply
    40.80x = 55.80 × 40.16
  4. Step 4: Simplify right side
    40.80x = 2,240.93
  5. Step 5: Solve for x
    x = 2,240.93/40.80
  6. Step 6: Final answer
    x = 54.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.